Intensity Distribution of Modes in Surface Corrugated Waveguides

TL;DR

This paper presents exact calculations of transmission and reflection in surface corrugated optical waveguides, revealing a preference for forward coupling, oscillating backscattering, and agreement with Random Matrix Theory predictions.

Contribution

It provides the first exact analysis of mode transmission in surface corrugated waveguides and compares results with Random Matrix Theory.

Findings

Preference for forward coupling through the lowest mode

Oscillating behavior of backscattering with wavelength

Probability distributions align with Random Matrix Theory predictions

Abstract

Exact calculations of transmission and reflection coefficients in surface randomly corrugated optical waveguides are presented. As the length of the corrugated part of the waveguide increases, there is a strong preference to forward coupling through the lowest mode. An oscillating behavior of the enhanced backscattering as a function of the wavelength is predicted. Although the transport is strongly non isotropic, the analysis of the probability distributions of the transmitted waves confirms in this configuration distributions predicted by Random Matrix Theory for volume disorder.